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Question

What should be the maximum speed with which a car can be driven through a curve of radius 18 m without skidding (where, g=10 ms2, coefficient of static friction between the rubber tyres and the roadway is 0.2)?

A
36.0 kmh1
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B
18.0 kmh1
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C
21.6 kmh1
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D
14.4 kmh1
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Solution

The correct option is C 21.6 kmh1
Given, r=18 m,g=10 ms2
and μ=0.2
Equation for dynamics of circular motion gives:
mv2maxr=f=μsN=μsmg
vmax=μsrg=0.2×18×10=6 ms1
Or, 6×185 kmh1=21.6 kmh1

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